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Finding the Third Proportional to 211,241 and 469,711

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Solution

The third proportional to 211,241 and 469,711 is: 1,044,439.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,241 : 469,711 = 469,711 : x
  2. Step 2: Convert to fraction form
    211,241/469,711 = 469,711/x
  3. Step 3: Cross multiply
    211,241x = 469,711 × 469,711
  4. Step 4: Simplify right side
    211,241x = 220,628,423,521
  5. Step 5: Solve for x
    x = 220,628,423,521/211,241
  6. Step 6: Final answer
    x = 1,044,439.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.